Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nrexdv | Unicode version |
Description: Deduction adding restricted existential quantifier to negated wff. (Contributed by NM, 16-Oct-2003.) |
Ref | Expression |
---|---|
nrexdv.1 |
Ref | Expression |
---|---|
nrexdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nrexdv.1 | . . 3 | |
2 | 1 | ralrimiva 2543 | . 2 |
3 | ralnex 2458 | . 2 | |
4 | 2, 3 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wcel 2141 wral 2448 wrex 2449 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 609 ax-in2 610 ax-5 1440 ax-gen 1442 ax-ie2 1487 ax-4 1503 ax-17 1519 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-fal 1354 df-nf 1454 df-ral 2453 df-rex 2454 |
This theorem is referenced by: ltpopr 7557 cauappcvgprlemladdru 7618 cauappcvgprlemladdrl 7619 caucvgprlemladdrl 7640 caucvgprprlemaddq 7670 dvdsle 11804 |
Copyright terms: Public domain | W3C validator |